Methodology and Computing in Applied Probability

, Volume 9, Issue 4, pp 465–481 | Cite as

Performance Analysis of a Fluid Production/Inventory Model with State-dependence

Article

Abstract

We study the long-run average performance of a fluid production/ inventory model which alternates between ON periods and OFF periods. During ON periods of random lengths items are added continuously, at some state-dependent rate, to the inventory. During OFF periods the content decreases (again at some state-dependent rate) back to some basic level. We derive the pertinent reward functionals in closed form. For this analysis the steady-state distributions of the stock level process and its jump counterpart are required. In several examples we use the obtained explicit formulas to maximize the long-run average net revenue numerically.

Keywords

production/inventory model fluid model EOQ state-dependent production rate reward functionals stock-level process long-run average revenue maximization 

AMS 2000 Subject Classification

Primary 90B05 90B30 Secondary 60K10 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Joseph L. Rotman School of ManagementUniversity of TorontoTorontoCanada
  2. 2.Department of StatisticsUniversity of HaifaHaifaIsrael
  3. 3.Department of Mathematics and Computer ScienceUniversity of OsnabrückOsnabrückGermany

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